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Title: Parallel method for initial value problems for linear ordinary differential equations: speed up estimation (English)
Author: Pavluš, Miron
Author: Podlubny, Igor
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 33
Issue: 3
Year: 1997
Pages: 279-290
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Category: math
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MSC: 34A34
MSC: 34A45
MSC: 65L05
MSC: 65Y05
idZBL: Zbl 0916.65077
idMR: MR1463610
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Date available: 2009-09-24T19:09:15Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/124713
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Reference: [1] W. L. Miranker, W. Liniger: Parallel methods for the numerical integration of ordinary differential equations.Math. Com. 21 (1967), 99, 303-320. Zbl 0155.47204, MR 0223106
Reference: [2] J. Nievergelt: Parallel methods for integrating ordinary differential equations.Comm. ACM 7 (1964), 12, 731-733. Zbl 0134.32804, MR 0176617
Reference: [3] I. Podlubny: Parallel algorithms for initial and boundary value problems for linear ordinary differential equations and their systems.Kybernetika 32 (1996), 3, 251-260. Zbl 0876.65049, MR 1438218
Reference: [4] I. Podlubny M. Pavluš, P. Purcz: Parallel solution of initial value problems for linear ordinary differential equations.In: Proceedings of International Workshop Parallel Numerics 95, Sorrento 1995, pp. 171-182
Reference: [5] P. Purcz: The speed up of a parallel algorithm for a Cauchy problem and for various known numerical methods.In: Proceedings of the International Workshop Parallel Numerics'96, Gozd Matuljek 1996, pp. 137-179.
Reference: [6] Cs. Török: On the parallel algorithms of initial value problems for systems of linear ordinary differential equations.In: Proceedings of the 113th Panonian Applied Mathematical Meeting, Bardejovske Kupele 1995, pp. 231-237.
Reference: [7] P. B. Worland: Parallel methods for the numerical solution of ordinary differential equations.IEEE Trans. Comput. 25 (1976), 1045-1048. Zbl 0359.65063, MR 0474836
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